{"id":10841,"date":"2017-06-05T21:25:54","date_gmt":"2017-06-05T21:25:54","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10841"},"modified":"2017-08-09T21:23:01","modified_gmt":"2017-08-09T21:23:01","slug":"summary-multiplying-polynomials","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/summary-multiplying-polynomials\/","title":{"raw":"Summary: Multiplying Polynomials","rendered":"Summary: Multiplying Polynomials"},"content":{"raw":"&nbsp;\r\n<h2>Key Concepts<\/h2>\r\n<ul id=\"eip-373\">\r\n \t<li><strong>Use the FOIL method for multiplying two binomials.<\/strong>\r\n<table id=\"eip-208\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>Step 1. Multiply the <strong>First<\/strong> terms.<\/td>\r\n<td rowspan=\"6\">&nbsp;\r\n\r\n<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24224442\/CNX_BMath_Figure_10_03_025_img.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Step 2. Multiply the <strong>Outer<\/strong> terms.<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Step 3. Multiply the <strong>Inner<\/strong> terms.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Step 4. Multiply the <strong>Last<\/strong> terms.<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Step 5. Combine like terms, when possible.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t<li><strong>Multiplying Two Binomials:<\/strong> To multiply binomials, use the:\r\n<ul id=\"eip-id1170325412264\">\r\n \t<li>Distributive Property<\/li>\r\n \t<li>FOIL Method<\/li>\r\n \t<li>Vertical Method<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Multiplying a Trinomial by a Binomial:<\/strong> To multiply a trinomial by a binomial, use the:\r\n<ul id=\"eip-id1170324224435\">\r\n \t<li>Distributive Property<\/li>\r\n \t<li>Vertical Method<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h2><\/h2>","rendered":"<p>&nbsp;<\/p>\n<h2>Key Concepts<\/h2>\n<ul id=\"eip-373\">\n<li><strong>Use the FOIL method for multiplying two binomials.<\/strong><br \/>\n<table id=\"eip-208\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>Step 1. Multiply the <strong>First<\/strong> terms.<\/td>\n<td rowspan=\"6\">&nbsp;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24224442\/CNX_BMath_Figure_10_03_025_img.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr>\n<td>Step 2. Multiply the <strong>Outer<\/strong> terms.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Step 3. Multiply the <strong>Inner<\/strong> terms.<\/td>\n<\/tr>\n<tr>\n<td>Step 4. Multiply the <strong>Last<\/strong> terms.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Step 5. Combine like terms, when possible.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li><strong>Multiplying Two Binomials:<\/strong> To multiply binomials, use the:\n<ul id=\"eip-id1170325412264\">\n<li>Distributive Property<\/li>\n<li>FOIL Method<\/li>\n<li>Vertical Method<\/li>\n<\/ul>\n<\/li>\n<li><strong>Multiplying a Trinomial by a Binomial:<\/strong> To multiply a trinomial by a binomial, use the:\n<ul id=\"eip-id1170324224435\">\n<li>Distributive Property<\/li>\n<li>Vertical Method<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><\/h2>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-10841\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21046,"menu_order":17,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"}]","CANDELA_OUTCOMES_GUID":"9b49e184-8291-4a60-bca0-02a1936fafa8","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10841","chapter","type-chapter","status-publish","hentry"],"part":8336,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10841","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/21046"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10841\/revisions"}],"predecessor-version":[{"id":14132,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10841\/revisions\/14132"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/8336"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10841\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=10841"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=10841"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=10841"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=10841"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}